How to make the pop-up box in the bottom left of the 3D viewport appear immediately when activating a Transform tool?
You cannot. The box is called the Operator Adjustment panel, aka the tweak-that-operation panel.
The fact that you want to do this makes me think you need to know that the tools themselves can be accessed without the gizmos, and will act on all selected faces generally.
Edit: gizmos are pretty much anything that shows in the 3D view that is not an object, particularly as a control.